00:01
So we're told the coca -cola company reported the mean per capita annual sales of its beverage in the us was 423 8 -ounce servings.
00:11
But they were curious if the consumption of coke beverages is higher in atlanta.
00:15
And so they took a sample of 36 people from atlanta.
00:18
The mean annual consumption was 460 .4 8 -ounce servings.
00:27
The standard deviation was 101 .9.
00:30
And we want to know if this gives evidence to support the claim that there's higher consumption of coke in atlanta, coca -cola in atlanta than in the us.
00:39
So as a hypothesis, we have the null would be that the mean is 423.
00:45
The alternative is that the mean is greater than 423.
00:50
And we're going to test this hypothesis, the set of hypotheses at the alpha of 0 .05.
00:56
And so we're going to get a p -value from our test.
00:58
And if the p -value falls below the alpha, we're going to reject our null hypothesis.
01:03
So we have a large sample size.
01:05
It's greater than the value of 30.
01:07
And by the central limit theorem, if we do have a sample size greater than 30, the distribution about the sample mean will be approximately normal.
01:13
So we can go ahead and use our t -distribution for it.
01:16
And that t -value will get us a p -value.
01:19
So let's go ahead and get our t -statistic.
01:20
So it's x -bar minus mu divided by s divided by the square root of n.
01:26
So x -bar is 460 .4...